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Popular >

factor y^{15}+8

Solution

factor

y^{15} + 8

Solution

(y^{5} + 2) (y^{10} - 2 y^{5} + 4)

Solution steps

y^{15} + 8

Apply exponent rules

= (y^{5})^{3} + 2^{3}

Apply Sum of Cubes Formula:

x^{3} + y^{3} = (x + y) (x^{2} - x y + y^{2})

(y^{5})^{3} + 2^{3} = (y^{5} + 2) (y^{10} - 2 y^{5} + 2^{2})

= (y^{5} + 2) (y^{10} - 2 y^{5} + 2^{2})

2^{2} = 4

= (y^{5} + 2) (y^{10} - 2 y^{5} + 4)

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Frequently Asked Questions (FAQ)

What is factor y^{15}+8 ?
The solution to factor y^{15}+8 is (y^5+2)(y^{10}-2y^5+4)